11 Suppose that ß is an acute angle with csc B . Compute the exact value of cos B. You do not have to 2 rationalize the denominator. cos B =

Q: 15 Suppose that tan ɑ = and 90° <a < 180°. 8 Find the exact values of cos 5 and tan-

A: Given, tanα =-158, 90°&lt;α&lt;180°

Q: Given that cos(x)=−1/2, what is cos(−x)?

A: Topic :- Trigonometry Answer cos(-x)= -1/2

Q: If cos(a) = 2/3 , sin(b) = -3/5, P(a) in Q1, P(b) in Q3,  find sin b/2

A:

Q: 10. Find sin 6, given that csc0= а. 12 12 b.- 2 c. 3 3

A:

Q: Find the exact value of the expression: cos 7.5° cos 37.5°

A: Consider the expression

Q: We have 27 Cos (u) du= and converting back to an expression in X qrues us

A:

Q: 6. Find, without using tables, the values of Cos x and Sin x, when Cos 2x is: a) 1/8 , b) 7/25 , c)…

A:

Q: (c) Under the assumption that x = ´cos 0 2 sin 0, use an appropriate right triangle to cos³ 0…

A:

Q: If cos A= 21/3 and A is between 90° and 180°, find   cos A/2

A: Given cos A = 21/3    A is between 90° and 180°.   We know cos θ ∈ [-1, 1]

Q: Find the exact value of the expression whenever it is defined.

A: Given- cos-1cos5π4 To find- The exact value of the above inverse trigonometric expression.

Q: If tan 0 9 and P(0) is in QIII, what is the value of cos(20) ? 41 41 40 41

A:

Q: Which of the following is equivalent to cos B(tan-ß + 1) for all values of B for wh cos B(tan-ß + 1)…

A:

Q: 3) Use the addition or subtraction formula to find the exact value of the expression cos

A:

Q: To evaluate / tan³ x cos² x dx, we may substitute u = cos x. Select one: a. False b. True c. None of…

A: Given:∫tan3x cos2x dxTrigonometry identities:sin2θ=1-cos2θtanθ=sinθcosθIntegration…

Q: Suppose 0 is in the interval (180°, 270°). Find the sign of the following. sin 2 If e is in the…

A: Given, sin(theta/2) Given interval, (180°,270°)

Q: 3 – 5 (cos (a) + cos²(ß)

A: Given: 3-5cos2α+cos2β

Q: 5. If 90° < 0 < 180° and cos 0 = — 1, find cos 20. ㅇ 곯 ○ 16 25 0-곯 ㅇ

A: Given that,

Q: 7. Use the table on page 311 or a scientific calculator to complete the statements. b. cos 57° e.…

A: To find sin(240) in scientific calculator first set the calculator to degree mode and type sin(24)…

Q: Given cos(8)= - 5 m<8<³ 2 for π<8<- then tan(0) =

A: We can find the answer as below.

Q: is this true or false

A:

Q: 2. Find the exact value of the following a. cos 12 b. sin (70°) cos (40°) – cos (70°) sin (40°)

A:

Q: **#1.) In right triangle MNO, MN = 10, MO = 15, and m2N = 90°. If sin0 = find the value of cos0.

A:

Q: (9) Use the half-angle identity to find cos 3π and < x < 2 JOTE: Enter the exact, fully simplified…

A: Given problem:- tan(x) =4/3  Find cos(x/2) and π&lt;x&lt;3π/2

Q: 5. 3 If tan B = - with * <B < 2n , find cos (2ß). %3D

A: It is known that in the first quadrant all trigonometric ratios are positive, in the second quadrant…

Q: If cos G = 0.5, which of the following would also equal 0.5? %3D

A: Given : cosG = 0.5

Q: 8. What is the value of 4 cos 300°+ 2sin 30°, 3 2v3 a. V3 b. 2V3 c. 1+v3 d. 3 For items 9.10 refer…

A:

Q: please answer all the parts

A:

Q: Suppose cos la-B)=4 and cos B=7 25 If P ca-B) is in QII and p (B) is in f : i pind the value of tan…

A: This is a trignometry problem

Q: If cos (A) = 1/2 with A in QIV, find cos (A/2). cos (A/2) =

A: cos(A)=1/2 A=cos-1(1/2) A=60o A is in iv quadrant so A is negative So, A=-60°

Q: 16. If sin O - cos O = 1 / 3, determine the value of sin O cos O. A. 5 / 4 B. 5 / 9 С.4/9 D. 4 / 5

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: If @= tan(1) and 180 <0<360", which of the following is equivalent to cos 6? O V2 O 1//2 O-1/V2 01…

A: The detailed solution is given below Thank you

Q: cos 52.5° cos 7.5° %3D II

A: We know that cosAcosB=12cosA+B+cosA-B

Q: If cos θ = 3/4, what is cos2θ?

A:

Q: 1. Find the exact value of the expression. cos(255°) Lan(㈜)+tan(㈜). tan) a. b. 1-tan(

A: Use formula COS(A+B)  and Tan(A+B)

Q: If cos (0) = - and sin (8) = -, where <0 <r and <B< 27, find cos (0 + B). 5 %3D %3D 13

A: Given,            cosθ=-35 and sinβ=-513 , where π2≤θ≤π and 3π2≤β≤2π

Q: Suppose that a is in the first quadrant and that B = n+a. What is cos-(cos B)? COS

A: In this question we have to find cos-1cosβ

Q: Find the exact value of cos. O undefined 1/2

A:

Q: Find the exact value of cos using cos(a - B): Hint: To calculate 71/12, select two fractions that…

A:

Q: D. If 180° <0 < 270° and cos 0=-, find cos 15

A: We have been given the range for the angle from 180 degrees to 270 degrees.

Q: If cos A= 21/3 and A is between 90° and 180°, find   cos 2A

A:

Q: Give the exact value of the expression. sin (2 arcos sin ( 2 arcos 12/5 O 24/5 24/25 O 12/25

A:

Q: 10. Use the formula cos(2a) = 1 – 2 sin? æ to find cos , if sin O v2 2 O v? 2 O_1 2

A: Given that       cos(2x) = 1 - 2sin2(x)  and sin(pi/4)=√2/2 Here we have to find cos(pi/2).

Q: 5. If 270° <0 < 360° and cos 0 = , find cos 20. 225 225 104 225

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

Q: 29. If sin (a) 3 5 -34 and cos<0, then tan = = 3 (b) (c) (d) 4 3 六

A:

Q: If cos 0 = and 0 is acute, then cos 20 is

A:

Q: 7 6. If cos e = 18 37 SOs27, determine the exact value of cos 2.

A: Given: cosθ=718, 3π2≤θ≤2π.

Q: If csc² A 5 what is the value of 2' 1- cos? A?

A:

Q: 2. If 90° <0 < 180° and cos 0 = -, find cos 20. 25 16 25

A:

Q: Suppose s is a real number such that sin s = - and cos s > 0. Find cos s

A: Given                     sin(s)=-35  and cos(s)&gt;0…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.