f cosθ=−2/4 and tanθ<0, then sin(θ)=    ; tan(θ)=   ; cot(θ)=  ; sec(θ)=   ; csc(θ)=    ; Give exact values.

Q: Suppose tan(-30°). Find the exact value of cot 0. O A. V3 O B. -V3 V3 c. 3 O D. 3 V3

A: We have to find

Q: Find the exact values of the following, if they exist. a. cos-1 V2 C. arccos (cos T) b. cos (cos-(-)…

A: (a) cos-122 = cos-112 Let y = cos-112cos y = 12cos y = cos π4y = π4 Hence cos-122 = π4

Q: Find sin(s - t) given that sin s= -5 with s in quadrant IV, and sin t= with t in quadrant II.

A: Given data:     The first given value is: sin s = -1/2. The second given value is: sin t=1/4.   The…

Q: If cos (x +) + sin (x- ) = A, then the number A is equal to А. —2 В. — 1 С.О D. 1

A: compound angle formulae of trigonometry.

Q: 4 sin? x cos xdx

A: Explanation of the solution is given below..

Q: 6. Find the exact value of the following sec tan E 6

A: We know the equation Sec (180 + x) = - Sec(x)

Q: If cos t and t is in the 3d quadrant, then sint

A:

Q: If f(1)=3, f(1)=1, g(x)=cos x, and h(x)=[f(x)]/[g(x)], then what is h'(1)? Round to the nearest…

A: The given mathematical expression is the derivative, which can be determined with the help of…

Q: B) 1- Given that a = sin Find cos x, tan x, cot x, secx and csc x ?

A:

Q: -When the (4tan e. tan2 0 = 1),the value of (0) from 0° to 360°.

A: We will use the formula tan2θ = 2 tanθ1-tan2θ Hence 4tanθ . tan2θ = 14 tanθ2 tanθ1-tan2θ = 18…

Q: 3. Find the period and amplitude of: y = 4 + +cos (x)

A:

Q: Find the exact value of the given expression. co(2 tan-(승)) cos 2 tan

A:

Q: Find the exact value of the expression. 1) cos s-1

A: Given expression

Q: Find the value(s) of x in [0, 2n] for the given equation: cos?(x) - cos(x) - 2 = 0..

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

Q: a fe) = Vsec?x-1 cos(, x)

A:

Q: given that t=tan-1(4/3), find the exact value of sin(t)

A: It is given that, t=tan-1(4/3) or, tan(t)=4/3......(1)

Q: What is (sin(x))? How about (cos(x))? d17 d42 dx 42 COS(x 1

A: To determine:                           d17dx17sinx: Now, We know that the 'derivative of sin x  is…

Q: Determine the exact measure(s) of 0, where 0° < 0< 360°. and tan 0 = 0

A:

Q: Suppose v is in the interval with tan v =-11. Find the exact expression for the indicated quantity.…

A: Given tan v = -11 And v belongs to (π/2, π)  That is v belongs to second quadrant.  To find cos(-v)

Q: Find sin(t) and cos(t) for the values of t whose terminal points are shown on the unit circle in the…

A: We will use a unit circle. Unit circle is of the form cosθ,sinθ

Q: Find cos(s - t) given that cos s = -5/13 , with s in quadrant II, and sin t =15/17 , with t in…

A:

Q: Express the given quantity in terms of sin x and cos x.

A: Given: The expression sin3π2-x, To determine: The given expression in terms of sinx and cosx,…

Q: (-) Suppose v is in the interval with tan v = -3. Find the exact expression for the indicated…

A:

Q: Find sin(t) and cos(t) for the values of t whose terminal points are shown on the unit circle in the…

A: Given, t is terminal points on the unit circle shown in the figure. t increases in increment π6

Q: d) Verify the identity sin 0 tan 2, 1+ cos e

A: To prove:

Q: (a) sin(e/2) (b) cos(e/2) (c) tan(8/2)

A:

Q: Find the values of 0 in degrees (0° < 0 < 90°) and radians (0 < 0 < t/2) without the aid of a…

A: cosθ=22 θ=arccos22 θ=45     degrees θ=π4     radians

Q: If cos 0 = -- and T < 0 < 3, what is the value of cos () ? 3 V14 V 14

A:

Q: Find L{cos() + sin(;)}

A:

Q: Solve on the interval [0, 27): cos?x + sin x + 1 = 0

A: cos2x+sinx+1=0

Q: snip

A: The given expression is cos-1-22

Q: ) Calculate sin?x cos x dx

A:

Q: 1 + sin² (x) dx sint(x)cos (x)

A: We have to find the integral.

Q: Find sin(t) and cos(t) for the values of t whose terminal points are shown on the unit circle in the…

A:

Q: find cos(s-t) given that cos s=-5/13, with s in quadrant 2, and sin t=8/17, with t in quadrant 2

A:

Q: Find ton A and sin 0 Given: CoS 0- 2. and Sin OLO 3.

A:

Q: What is the exact value of Cos(210°)? V3 1/2

A: Answer and explanation is given below...

Q: Given tan x = sin x < 0; cos y = csc y < 0, find sin(x-y) 3/5

A:

Q: Find the values in : @ sin (cos' ( E)) @ sec(cos' t)

A: Given: (a)  sincos−122=?(b)  seccos−112=?

Q: Solve the given equation for x  cos(tan-1x)=sin(cot-1 (3/4))

A: we have to solve for x

Q: 1. Evaluate: sin (x) cos? (x) dx.

A:

Q: Find the value of: (1) sın (sin): (i) tan- (tan *(tan): (iii) cos (tan12 + tan"12)

A:

Q: B) If E-o(sin x)2" 2 tan x then find the value of x. 00 %3D

A:

Q: Given cos x sin x < 0; tan y = sec y < 0, find sin(x+y)

A:

Q: If cos t =- and t is in the 3nd quadrant, then sin t

A:

Q: +1 (E) cos +sin x ()

A:

Q: V3 Give the exact value of tan ( cos 2

A:

Q: Write 4 coS x sin x in the form R cos(x – a) with -T < a < T. Round to three decimal places.

A: Consider the given function.

Q: Find the value of e if (sin e + cos 0)* = 0, where < 0- c0 <n.

A:

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.