Use the reciprocal identities for the following problem. If sec 0 = -4, find cos 0.

Q: Find the value of 0 for the following equation: cos(0)=sin(14)

A: The objective is to find the value of 0

Q: r= sin 0 r= cos 0

A: Solution:-

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: Hints: sin2x+cos2x=1            tanx=(sinx)/(cosx)          1/(cosx)=secx

Q: If sint = 4/5 and tis in the first quadrant, find cos(2t) O-7/25 O -9/25

A: Given: sint=45

Q: Use the reciprocal identities for the following problems. if cosec theta = -13/5 find sin theta

A: Given: cosecθ=-135 we know that cosecθ=1sinθ

Q: If cos θ=0.713, find θ, writing your answer to the nearest degree.

A: Trigonometric value

Q: Use the reciprocal identities for the following problems. if sin theta = 4/5 find cos theta

A: To find cosθ by using reciprocal identities.

Q: If sin t = 2√7/7, 0 ≤ t <π/2, use identities to find the remaining trigonometric functions.

A:

Q: Use the given information to find the exact value of: a. sin(α/2)  b. cos(α/2)  c. tan(α/2)

A: It is given that tan α=43 where 180°≤α≤270° so, the angle α is in the third quadrant. So, α2 will…

Q: Given cos 0 = , find the value of sec 0 12

A: cosθ=-712

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: The given trigonometric equation is: tanx csc2x-1=cotx To prove the left side of this equation is…

Q: Find the exact value of the expression. cos (30° + 120°) so:

A:

Q: If cosθ=0.104, find θ, writing your answer to the nearest degree.

A: Use inverse trigonometry ratio

Q: Given: sin 0 = , where 0 < 0 < 90 17 Find: cos 20

A: See the answer below

Q: Use the figure below to find the exact value for cos(30°). V3 1 60°

A: Solution: The objective is to find the required value

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: Simple trigonometry problem.....

Q: For y = 10 sin(10z), %3D the amplitude is the period is Give exact radians using .

A: Given,             y = 10 sin( 10x )

Q: If <0< 2n, find 0 if cos 0= sin .

A:

Q: Find all ons to the equation. 2 cos 0+/3 =0 %3D Write your answer in radians in terms of T, and use…

A: 2cosθ+3=0cosθ=-32cosθ=-π6The cos is negative in second quadrant and third quadrant…

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A:

Q: Answer the following completely. Given: tan α = = 2√6, cos ß = 1. csc a 3 I 5' αε[0,π] sin p < 0…

A:

Q: If cos a = 0.565 and cos ß= 0.867 (both angles are acute),

A:

Q: Use the reciprocal identities for the following problem. If sec ? = −5, find cos ?.

A: We use the reciprocal property

Q: If 0° <0<90° and cos @ = , find cos I3I

A:

Q: Write cos 0 in terms of sin 0, for 0 in quadrant III.

A:

Q: Evaluate the following expressions. Give an exact answer in radians. )- (a) cos %3D () - -1 (b) cos…

A: A) π/6 B) π/3 C) π

Q: Write the following in terms of sin 0 only. cos e Need Heln? Read It

A:

Q: Use the information given below to find cos (a - B). 4 with a in quadrant I tan a =- 3' cos ß = 3…

A: Given : tanα = 43, with α in quadrant 1cosβ = 35, with β in quadrant 4.   To find : cosα-β?

Q: Find cos(2A), if sin(A) = 45 53' and A is in quadrant 3.

A:

Q: Write the following in terms of sin 0 and cos 0 and then simplify if possible. sec 0 tan e

A:

Q: Use the information below to find cos (a+B) tan(a)=2/3 with a in quadrant 3 cos(B)=1/5 with B in…

A: where,   cos(a+B) = cos(a)cos(B)-sin(a)sin(B)      ......(1) Given : tan(a) = 2/3 with a in quadrant…

Q: Find the value for θθ in the following equation: sin(θ)=cos(28)

A:

Q: If cos a = 0.552 and sin B = 0.324 with both angles' terminal rays in Quadrant-I, find the values of…

A:

Q: If sint = and t is in quadrant III, find the value 13 %3D of cos t.

A:

Q: Find tan 20, given the expression below. * cos 0 and "< 0 < . 2 4

A: Given: cosθ=-14 and π2&lt;θ&lt;π. To find tan2θ. Solution: Given that θ lies in second quadrant. In…

Q: Find the exact value, if possible, cos(cos-1 1.5).

A: Consider the provided expression, coscos-11.5 Find the exact value.

Q: Find cos(2A), if sin(A) and A is in quadrant 3. 41

A:

Q: If cos 0 = the value of O √3 and tan 0 H √3 . where 00 27, calculate

A:

Q: Use the given conditions to find the exact value of the expression. 3 cot(a): cos(a) < 0, tan (a + 4…

A: Here we use  trigonometric identity to solve the problem.

Q: cos 0 is negative,

A:

Q: Find: cos(a) = 90° <a < 180°, A. cos(2a) = %3D 8. tan(2a) =

A: Cosine is negative in the second and third quadrant and positive otherwise. Tangent function is…

Q: If sin(x) (in Quadrant-I), find 14 cos(2x) :

A:

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A:

Q: 3 If sin (F) = =, what is cos (G)? H

A:

Q: Use the reciprocal identities for the following problem. If tan 0 = a (a # 0), find cot 0. cot e =

A:

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

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.