tan (217 a) + tan (-a −20π) + tan 11 sin 7π 2 - sin² (a 3π -) - cos² (a + Sz) 2 2

Q: 1 in tan 3 +coS -1

A:

Q: Prove that the distance sin 0₁ 2³ +|sin 0₂2² + greater than 2/3. of the roots of the equation sin…

A: To prove that the distance of the roots of the equation…

Q: sin (7π/6) + cos (3π/2)

A: Given,

Q: Show that A" cos (ах ah + b) = | 2 sin cos a + bx +n (ah + T 2

A:

Q: Express the number -5 in the form R(cos(0) + i sin(0)) = Reil where R>0 and 0 <0 < 2T.

A: rewrite -5 as -5=-5+0i comparing with z=a+bi a=-5 , b=0 R=a2+b2=-52+02=25+0=25=5 now…

Q: 5 sin a -3 cos a If 5 tan a = 4, Show that 5 sin a +2 cos a 116

A: Given: 5 tanα=4

Q: 2. Solve 2 sec 0 + tan 0 = 2 cos 0, 0<0<2n .

A:

Q: r2 cos 0 d0 /1 – sin 0

A:

Q: Sin 0/1 + co² B) 2.

A: sinθ1+cot2θ                             =sinθ1+cos2θsin2θ…

Q: 4. -1 -1 Sec(tan 1 C8C 1)

A: Given Data: Trigonometric Function: sectan-11+csc-11 The measure of the tangent of 45° is,…

Q: 5π (b) sec 6 (c) (sin 570⁰ + cos180°)-¹ (d) sec 7π 6 - 1 CSC 4π 3 + COS 5π 6

A: b)sec-5π6-csc4π3sec(-θ)=secθ since you have posted multipart question, i can do first question as…

Q: tan-¹ (sin) 0 - 4 O Оп 0-1/2

A: we know  that  sin(π2)=1let  y=tan-1(sinπ2)

Q: Verify the identity. (sec ² 0+1) (- sin² 0+1) = 2-sin ²0 20 rch Which of the following four…

A:

Q: Find 4x° cos(2r) dr. 1 (- sin(32) + sin(2)) 0. (sin(2)- sin(1)) 1 6(-sin(2) + sin(1)) None of the…

A:

Q: 1 1. Use basic identities to simplify the expression secx cos x + cos x secx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: cos 2x dx I+ sin 2x

A:

Q: Solve 2 cos² (0) + sin(0) = 1.

A:

Q: ∫0π/2[√(cos5t) sin5tdt] Hint: intergration by substitution

A: Rewrite the equation Apply substitution u=√(cos5t)

Q: -(sin³(x) + sin (x³) ) dx A 3sin'x + cos (x³) B 3sin?rcos(x³) + 3xr?cos(x³) © 3sin?x + cos (3x²) D…

A:

Q: -5 sin x = -2 cos2 x + 4

A:

Q: 0 1 (b) sin 3

A: To determine the value of the theta.

Q: cos2t dt Evaluate the Integral (1+ sin2t) 4 A (1+ sin2t) 3+ C (1+sin2t) -3+ C 6. (1-sin2r) 3+ C 6. D…

A:

Q: Cos2 π/3 + sin2 π/3

A:

Q: Q4: Prove that: cos?x – sin?x cos²x - 1- tan?x

A: We need to prove that cos2x-sin2xcos2x=1-tan2x We will use tanx =sin xcos x

Q: 2-tan a If sin(x + a) = 2 cos(x – a), then tan x 1-2 tan a True False Leave Question

A: