Question: if cot 0 = -V3 and cosec 0 = 2, without using a calculator, calculate the value of sec²0 +tan²0

Q: θ

A: Please refer to the image below

Q: Find the values of 0 in degrees (0" <0< 90°) and radians 0<< without the aid of a calculator. sec 0…

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Q: e a calculator to evaluate. Round values to three decim: nsider the correct angle mode. sin-1 tan-…

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Q: Find the values of 0 in degrees (0° < 0 < 90°) and radians (0 < 0 < «/2) without using a calculator.…

A: (a) Consider cotθ=33. The objective of the problem is to find the value of θ in degrees and radians.

Q: 24 Given cot 0 = and cos 0 < 0, find the exact value of each of the remaining trigonometric…

A: Cosine is negative in the second and third quadrant. Sine is negative in the third and fourth…

Q: Use a scientific calculator to approximate in decimal degrees and follow significant figures rules:…

A: Follow next step

Q: 10) If sin 0 = -7/8 and sec 0 < 0 Draw 0, indicate the quadrant of the terminal side or e and state…

A: If sinθ=-78 and secθ&lt;0 We have to Draw θ and indicate the quadrant of the terminal side of θ and…

Q: Find the exact values of sin 20, cos 20, tan 20 and the quadrant in which 20 lies. tan 0=,0 is in…

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Q: tan e is equal to cot tan?e O-1 O cot?e

A: Here is the solution

Q: If 2 cos a+1=0 and sina <0, determine without the use of a calculator and with the aid of a diagram…

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Q: 3 If cot(z) 8 Give exact answers. sin (-) HAAAAAAAAA COS = (-²) = - C tan( (-) (in Quadrant 3), find

A: Given : cotx=38 (in quadrant 3) To find : sinx2, cosx2, tanx2

Q: 4. If csc(0) 205 and cot(0) > 0, find all six trigonometric function 156 values for 0.

A: according to guidelines we are only allowed to answer the first question of multiple questions…

Q: 16. Given the following left side of an equation, identify the equal right side. 1 tan 0 + =? tan 0

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Q: 5) Find the exact value of the expression sin(20) given that tan(0) = -8/5 and 0 is in Quadrant II.

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Q: 3 If sin 0 and 0 is in quadrant II, find exact values. cos(0) tan(0) = %3D cot(8) sec(0) csc(0)

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Q: If cot(x) 3 8 Give exact answers. sin (-2) = cos (²) = | a(²/2) = tan || (in Quadrant 3), find

A: Explanation of the answer is as follows

Q: 2) Find the exact value of each trigonometric function. a) cos 135° b) tan 210 c) sin 300°

A: Our Aim is to find the value of following trigonometric functions given below:-(i) cos 135°(ii) tan…

Q: Find the exact values of sin(2r), cos(2æ) and tan(2r) without solving for a. 1 If sin a and a is in…

A: Trigonometric  identities           Sin2x+Cos2x=1            Sin2x=2sinx cosx…

Q: 1.What is 2000° in radian measure?

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If sin 0 = and 0 is in quadrant II, then cos(0) %3D tan(0) %3D cot(8) sec(e) csc(0)

A: Solution Given sin theta =3/5 According to Pythagorus Theorem, Adj. side…

Q: 17 If cot(z) = 5 (in Quadrant 1), find Give exact answers. sin cos ) - 43 3 COS 3 tan)

A: This question can be solved using the concept of trigonometric ratios of submultiple angles

Q: a. If sin 0 0, then 0 lies in which quadrant?

A: (a) Given sinθ&lt;0 and tanθ&lt;0 In the quadrants third and fourth sinθ&lt;0⇒θ∈(π,2π)   In the…

Q: Find the exact values for sin 0, cos 0, and tan 0. 37 12 9.

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Q: 12. If sin 0 = and P(0)is in the first quadrant, what is the value of tan 0? 3 A. B.2 D.

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Q: 2 If sin 0= - 0 in quadrant I, find the exact value of 5' Cos ()

A: Given that: sinθ=25 and θ lies in quadrant II.

Q: Find the exact value of the expression. Given cot 0 - and cos 0 > 0; find sec 0.

A: Consider the figure:

Q: 3 If sin 0 and 0 is in quadrant II, find exact values. 11 cos(0) : tan(0) cot(0) %3D sec(0) csc(0)

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Q: (b) If 2 cosa+1=0 and sin a <0, determine without the use of a calculator and with the aid of a…

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Q: 15 If sin 0 and e is in the third quadrant, what is tan 0? 17'

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Q: 9. and tan 0<0. 7 Find the exact value of cos 0 and cot0 given csc 0

A: It is given that ,                  cosecθ=97we have to find the value of cosθ and cotθ. we draw a…

Q: Find the exact value of the remaining trigonometric functions of θ. 10. cosθ= -3/5, θ in quadrant…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 11. The expression sin+ (cot)(cos) is equivalent to A. 1 B. csc C. sece D. cot20

A: Here, the given expression is: sin θ+(cot θ)(cos θ)

Q: 8. Find the exact value of the trigonometric expression: Sec (arctan" 16

A: Consider a right triangle with opposite=12 and adjacent=16 From the triangle we see:

Q: 3. If sin(0)=-5 and 0 is in Quadrant III, find the exact values of cos

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Q: State the exact value of the trigonometric ratio. •If Sin A = 1/7; find Cos A •If Tan B = 8; find…

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Q: 1. State the period of the sine/cosine function 2. Write an equation using a sin function. 3.…

A: the given graph is: 1. State the period of the sine/cosine function 2. Write an equation using a…

Q: If cos(0) > 0 and tan(0) < 0, in which quadrant does 0 lie? Select the correct answer below:…

A: That's easy, once you know where cosine is positive and tangent is negative.

Q: Estimate ? if cos ? = −0.7 and 0 ≤ ? < 2?. (Enter your answers as a comma-separated list. Round…

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Q: Question 16 If sin 0 = - and tan 0 > 0. What is the value of cos 0 cot 0? 32 63 63 32 63 32 32 63

A: Topic:- trigonometry

Q: 1. If sina =, with <A<R and tanB , with <B<= determine the exact value of 2 a) sin( A+ B)

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Q: 4) Determine the exact value of each trigonometric ratio. a) sin 5t/6 b) sec -Зл/4

A: We will use basic properties of trigonometric functions and find the values as follows

Q: a - b? If cos 0= , express sin 0, cot 0, sec 0 and cosec 0, in terms of a and b.

A: Solution is done in step 2

Q: 2) Find the exact value of each trigonometric function. a) cos 135° b) tan 210° c) sin 300°

A: We have to find exact value of given trigonometric functions.

Q: 5. If sin 0 = and 0 in the first quadrant, find cos 20.

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Q: 9. and cot o If tan 0 find the exact value of sin(0- p). 71

A: The sine (sin) of an acute angle in a right triangle is the ratio of the side opposite of the…

Q: 15 If cot 0 = and 0 lies on QIII, find the values of 8 the following: 1. sin 0 = 2. cos 0 = 3. tan 0…

A: Here, given that: cot θ=158 And, θ is in III quadrant. So, sine and cosine both are negative in it.…

Q: e a half-angle formula to find the exact value of tan 8

A:

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.