Verify that each equation is an identity. 9. tan2 sin2 2 (tan x sin a х —

Q: Verify the Identity: sin(pi/2 +x)=cosx

A: Since, sina+b=sinacosb+cosasinb Then, LHS- sinπ2+x=sinπ2cosx+cosπ2sinx=cosx where a=π2,b=x

Q: Use the fundamental identities to simplify the expression cos2 y /(1 − sin y).

A: To simplify the expression cos2 y /(1 − sin y).

Q: Rewrite – 4 sin(r) + 4 cos(x) as A sin(x + ø) A = $ =

A:

Q: Perform the indicated operation and simplify. 1- sin t 1 COS t tan t + sect

A: formulae used:

Q: Write the given expression in terms of x and y only. tan(sin-(x) + cos-(v))

A:

Q: Verify the identity.

A:

Q: sin(A) tan(A)+ cos(A) = COS

A: Given- sinAtanA+cosA To Simplify- The above trigonometric expression. Identity Used- sin2A+cos2A=1.…

Q: Use power reducing formulas to simplify the following identity tan n²(7x)cos²(7x) =

A: Given that,                     tan27x cos27x   = tan7x 2 .cos27x   = sin7xcos7x2 cos27x       Since…

Q: Find the value of x in each of the following )tan 3x sin 45 .cos 45 .+sin 30

A:

Q: Rewrite sin 2 cos as an algebraic expression in v. 5

A: Explanation: Given that,                          We know that,                           Use the…

Q: cos2e sin20 + csc 0 sin e

A:

Q: Let sin A = 4/5 with A in QII and sin B = - 5/13 with B in QIII. Find sin(A + B), cos(A + B), and…

A: Let Sin A = 45  with A in QII    and Sin B = -513   with B in Q IIIFind Sin (A+B) , Cos( A+B) , and…

Q: Simplify the following identities: 14: 1 sec'x 15.: COSX COSX 1 - sinx 2. sin'x tan'x 1+ sinx

A: Some trigonometric identities are,

Q: Rewrite 4sin(×)as A sin (×+θ) A= Θ=

A: Given,           4sin(x)

Q: Verify that each equation is an identity 1. sin 4x = 4 sin x cos x cos 2a

A: To verify:

Q: 30. When < 0 < 3, which of the following could possibly be tan 0? о (а) —8 • (b) - (c) 0 (d) 1

A: According to the problem, we have

Q: Rewrite sin(a−7π/4)in terms of sin(a) and cos(a).

A: Given the query is to rewrite the ue expression.

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

A: Simplification

Q: 1 tan? r 6. cos 2r 1+tan r

A: We need to prove:cos2x=1-tan2x1+tan2x

Q: Verify the identity. (Simplify at each step.) 3 csc 20 3 csc e %3D 2 cos 0 3 3 csc 20 %3D sin 20 3…

A:

Q: Write 3 sin(t) – 4 cos(t) in the form A sin(Bt + ¢)

A: Given: ft=3sint-4sint multiply the above expression by, The expression 'f(t)' becomes,

Q: 16) Complete the identity. sin^2 x-1=

A:

Q: - (/3). Gi ve the exact value of tan1

A: We have to find

Q: Verify each of the following identities a. Sint - Csct / Csct = - Cos2t   b.  2Tanx / 1+ Tanx =…

A:

Q: Verify the following identity. -2 tan e sin 20 = 2. 1+ tan 0

A: Here I am attaching image so that you understand each and every step.

Q: Verify the identity by following the steps below. sin(x)cot(x) cos(x) 1) Write the left-hand side in…

A: To verify the identity sinxcotx=cosx.

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

A:

Q: Verify the identity. cos² t sin t -=cos tcot t

A: We have to Verify the given  identity cos2tsint=cost cott

Q: Rewrite the expression algebraic expression in x: -1 tan cos as an

A: We know that ,  In a right triangle ,  cos A = adjacent / hypotenuse  And  tan A = opposite /…

Q: Verify the identity. (Simplify at each step.) tan -e)tan e =1 2 tan 2. tan e %3D Jtan e tan e = 1 1.

A: To verify:

Q: Verify the identity. (Simplify at each step.) (1 + cos a)(1 – cos a) = sin² a %3D (1 + cos a)(1 -…

A:

Q: 11. Express 0 in each figure in terms of x. (a) (b) 3 4 12. Find the exact value of cos(tan).

A: Our Aim is to express θ in terms of x.(a) tan θ=PerpendicularBase⇒ tan θ=x4Answer⇒θ=tan-1x4

Q: b. In cot(x)- In | tan(x)| = 2 1n| cot(x)|

A:

Q: 8. Verify the identity: 1- cos h sin? h h h(1 + cos h)

A: To verify:1-coshh = sin2hh1+coshUseful for the question:  sin2x + cos2x = 1a2 - b2 = a-ba+b

Q: Which of the following is not in the domain of tan(x)? Select all correct answers. Select all that…

A: tanx

Q: 8. Determine one possible value for x when 0≤x≤ 2π for each of the following. Give answers in…

A:

Q: In simplest form, the sin A= the cos A and the tan A =! 12 16 22 :: :: :: 3 20

A:

Q: Verify the identity by following the steps below. sin(x)cot(z) cos(x) 1) Write the left-hand side in…

A:

Q: 6. Verify each of the following identities: cosx (a) 1-sinx secx + tanx 1 + 1-sinx 1 (b) 2sec?x =…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Which of the following is not in the domain of tan(x)? Select all correct answers. Select all that…

A:

Q: Verify that the equation is an identity. 1 1 1- sin x 1+ sin x COS

A: We need to verify the identity:11-sinx+11+sinx=2cos2x

Q: a) Evaluate the following: 1 - 2 - L {sin3t cos3t} , 3 - I {sinht sint}

A:

Q: Verify the identity. 4 cos?(x) – 2 = 2 – 4 sin2(x)

A:

Q: coscos A 2. sec sec A- 1+sinsin A =tan tan A roof:

A: Here we have to prove that, sec A-cosA1+sinA=tanA  ........................ (1)  Taking LHS…

Q: Evaluate sin" a cos a da.

A: Given : ∫sin4x cosx dx

Q: Evaluate: / tan( tan3x)dr cos?3x i -In |sec(tan3x)|+C A 3 В - In |cos(tan3x)|+C -In |sin(tan3x)|+C 3…

A:

Q: . Complete the identity: sin2x + tan2x + cos²x =? A) cos3x B) sec?x C) tan2x D) sin x

A:

Q: Write the trigonometric expression as a simplified algebraic expression.

A: The given expression is