1+cos 2a Express without the double angles. sin 2a-cos a 2 cos a 2 sin a+1 2 sin a-1 2 cos a 2 cos a 2 sin a-1 2 sin a 2 cos a-1

Q: sin 12a iv) lima-0 sin 5a

A: Our objective is to find the limit of the above function.

Q: 8. where Tt LO L JC COS = 17 find Jan -7-

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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: 20 -1 3. sin

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Q: A. cos 2A = cos² A-sin² A B. cos 2A = (cos A - sin A) (cos A + sin A C. cos 2A = 2 cos² A-1 D. cos…

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Q: 6(sec? z - tan²I – 6) I- 6) sin z + cos? I sin z 3 O 6 csC I -30 sin z -30CSC I 36 sec I O-30 seC I

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Q: 5TT 2. Cos 6. 2п Cos 3 + sin sin 6 - - - 3 一。

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

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Q: 11-12: Simplify. 11. cscß(cosß + sinß) 1. 1+sinx 12. 1. 1-sinx

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Q: 4 sin 0 1 – 3 cos 0

A: Using Pythagorean identity we write the equation with sin, then solve for sin theta.

Q: TT -1 Cos 2 sin 2

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Q: 2 3+ sin² 0 cos 0 - 2 where 0° 0 ≤ 360°. = 3 cos 0.

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Q: 25-11 2-4s + 8

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Q: Sin 22.5 × cos 22.5

A: To find: The value of is . Formula used: Trigonometry formula:

Q: + jsin 12 12 .2 +jsin - Simplify 3 cos cos

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Q: Verify the identity: 1 1+ sin + 1 1-sin/ = 2+2tan² 0.

A: The given identity is,

Q: j sin 125 cos 11 1. Simplify 47T . Express answer in rectangular form. 47 +j sin cos

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Q: Precal -   prove true or false  cos(theta-9pi/2) = sin (theta)

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Q: Cos ax COs ax Q: Prove that dx = ze", a 2 0.(or) Evaluate x² +1 x² +1

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Q: sin TU 4 R .+α TU sin + a 4 + COS COS TU 4 T 4 + a + a

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Q: prove the identity: 4 sin A cos^3A- 4 sin ^3A cos A

A: The first fill in the blank is wrong.