Evaluate the expression under the given conditions. sin(e - +); tan(8) = 2, e in Quadrant III, sin(4) 10 $ in Quadrant IV 10

Q: tan (2a) = ? For all values of a for which the expression is defined, cos?a Select the correct…

A: We know that  tan 2x = 2tanx / 1- tan^2x Hence option (B) is correct.

Q: The Equivalent expression of cos 3A sin A cos A is Select one: csc A – 2 sin A + 2 sin? A CSc A csc…

A: Simplification of trigonometric ratio

Q: The value of 6 tan(cos-: cos(0°) a) 6- V3 b) 6+ V3 c) 0 d) 6

A: Let's find value.

Q: 5. Which of the following has the largest value? A. sin 2 B. sin 2 C. cos 2 D. cos' 1

A: A. Let sin-112=x. 12=sinx12=sin30° B. Let sin-132=x sin-132=x32=sinx32=sin60°.

Q: snip

A: The given identity sinθcosϕ2+sinθsinϕ2+cos2θ=1

Q: 6. 2/10 2.

A: Solved below...

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify (see…

A: Given query is to make the trigonometric substitution and simplify the expression.

Q: Find the exact value of the expression using the provided information. Find sin(s+t) given that cos…

A: Please see the below picture for detailed solution.

Q: If tan? t – sin? t: sin“ t then coso t the positive power a = the positive power b =

A:

Q: 3 Find the exact value, in radians, of the expression tan 3.

A:

Q: 3 8. If sin e = - - and the terminal side of e lies in quadrant III, find cos e. 5 3 3

A: Topic  = Trigonometric ratios

Q: 10 20 Which expression gives the value of x? A) 10 tan20° B) 10 cos20° 10 C) tan20° 10 D) sin20°

A:

Q: Verify the identity. (Simplify at each step.) (1 + sin a)(1 – sin a) = cos? (1 + sin a)(1 - sin a) =…

A: Simplification

Q: If sin A = -12/13 with 180°<A<2700, find the following.  sin (A/2)  cos (A/2)  tan (A/2)  csc…

A:

Q: Evaluate the expression under the given conditions. 2/5 sin(0 + 4); sin(0) = O in Quadrant I, cos(4)…

A: 1. sin and cos are positive in Quadrant I 2. Sin is positive and cos is negative in Quadrant II 3.

Q: If f(x) = cos-(r"), then f'(x) = (A) (B) (C) (D) (E) -32? sin-(æ³) (A) O (B) o (c) O (D) (E)

A: We have to find derivative

Q: 1. Evaluate the expression (sine+cose) +(sin8-cose). A. -2 В. -1 С. 1 D. 2 2. Given the condition of…

A: 1. sinθ+cosθ2+sinθ-cosθ22. cscθ=53 , π2&lt;θ&lt;π

Q: 40 a lies in quadrant I, and sin(B) = 24 sin(a) = B lies in quadrant II, 25 41

A:

Q: Given: sin A = and cos x = - 12; evaluate the following expression. %3D (8: Quadrant I, x : Quadrant…

A: We can find the answer as below.

Q: Find the exact value of the expression using the provided information.Find cos(s + t) given that cos…

A: To determine the value of cos (s + t).

Q: Evaluate the expression under the given conditions. 2/5 8 O in Quadrant I, cos o = - 17' sin(0 + ø);…

A: Given query is to find indicated angle.

Q: Rewrite 5 sin(æ) + 2 cos(x) as A sin(x + ø) A = $ = Note: ø should be in the interval – T < ¢ < T

A:

Q: rreions: Use your scientific calculator to find the values of the followim b tan13.75° cos45° d…

A: We have to find

Q: c. tan1 (-1) d. sin (-1/2)

A:

Q: sin?A = 01- cos?A cos?A - 1 1+ cos?A

A:

Q: Find (sin z?). Note: this notation means 4 (sin (x?)). d dæ O a2 . cos 2x O 2 cos r? O 2x · cos a? O…

A:

Q: Find the exact value of the given expression.sin (5?/3−5?/4)

A: Given:

Q: Evaluate the expression using the given figure to obtain either a or B. 35 -1 (a) tan 12 12 (b) sin…

A: tan-13512

Q: Which expression is equivalent to (1-sin a)(1+sin a) for all values of a for which (1-sin a)(1+sin…

A:

Q: Find the exact value of the expressions cos(a B), sin(a B) and tan(a + B) under the following…

A: We have to find value of given trignometric function.Question is given below:

Q: 21-25. Perform the indicated operation: tan e + cos e | 1+ sin 0

A:

Q: Rewrite 1 sin(x) - 2 cos(x) as A sin(x + ¢) A= $ = Note: ø should be in the interval – n < ¢ < T

A: If asinx + bcosx has to be rewritten as Asin(x+ϕ) then A=a2+b2   and tanϕ=ba⇒ϕ=tan-1(ba)

Q: 4 with e in quadrant IV, find sin 28. Given that sin 8= 24 O A. 25 O B. 25 OC. OC. 25 24 OD. 25

A: sinθ=-4/5 θ is in quadrant IV sin2θ=2sinθcosθ (formula used)

Q: 一9 Find the exact value, in degrees, of the expression sin

A: Given,            sin-1-32

Q: If cos X = 0.4, and X is in Quadrant IV, then what is the value of sin X? O-J0.84 O 0.6 V0.84 -0.6

A:

Q: Given: cosa= -, sin x = - 12, e is in the third quadrant, and x is in the fourth quadrant; evaluate…

A:

Q: Evaluate the expression under the given conditions. 3V10 sin(e - p); tan(0) = O in Quadrant III,…

A:

Q: Evaluate the expression without using a calculator. cos T 6 6 sin TT

A: From unit circle cos(pi/6)= sqrt(3)/2 sin(pi/6)=1/2

Q: Find the exact value of the expression using the provided information.Find sin(s + t) given that cos…

A:

Q: 5T Evaluate the expression sin Cos 3.

A:

Q: Evaluate the expression under the given conditions. tan(2?); cos(?) = 3/5, ? in Quadrant I   2.…

A:

Q: Find the value of cos e, if sin 0- 4 0° S05 90°. 7. 25 49 33

A: Given : sinθ = 47

Q: 12. Determine the correct simplification of the expression tan acos a+ cos a. a. sin? a b. cos a sin…

A: Given: tan2α cos2α+ cos2α

Q: 27. sin? ax cos? ax dx

A:

Q: Given: sin A = ! and cos x = - ; evaluate the following expression. %3D (A: Quadrant I, x : Quadrant…

A: Given query is to find the value of the indicated angle.

Q: Evaluate the expression under the given conditions. cos(? − ?);  cos(?) = 3/5,  ? in Quadrant IV,…

A:

Q: Find the exact value of the following expression. V3 sin-1 2

A: Given : Sin-1√32

Q: 11 ,0<a< 61 3. If sin(a) Find sin()

A: If sin(alpha)= 11/61 then find sin(alpha/2)

Q: 5. (a) 2e' sin? (b) e cos ?1

A:

Q: 4(cos 310° + i sin 310°)

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.