In AXYZ with a right angle at Y, the cosine ratio can be used to find the length of XZ as O a) XY cos X O b) XY cos Z YZ cos Z YZ O d) cos X

Q: Match the function with its graph. 1) y = sin 3x 3) y = 3 sin x 2) y = 3 cos x 4) y = cos 3x A) B)…

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Q: By using Cauchy laws find: sin (2) dz -i2 cos (2) dz 2-T3

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Q: 1. Express each as a single trig ratio. a) Gos 20a cos 5a- sin 2 Oasin 5a b) sin 95° cos 45°- cos…

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Q: sin x cos x 15) Simplify: csc x sec x A) 0 C) tan(x) В) 2 D) 1

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Q: 15. If S Sin 0 and C = Cos 0, simplify: S.C i) √√1-S² S.√√1-S2 ii) C.√1-C² C S iii) + S C (ans..:i)…

A: If , , simplify:i) ,ii) ,iii)

Q: Show that a. cosh iu = cos u, b. sinh iu = i sin u.

A: To show that

Q: cos C25+) Se sincas+) dt

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Q: 12. In the right triangle shown, find the sin a . B) vx-1 C) vi-x A) x D) I-x

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Q: OQ =r = 10 and Q (-6; y) Determine: a) y b) sin 0 c) d) tan 0 Cos e Q(-6; y)

A: We will use distance formula and polar co-ordinates to solve this

Q: from Evaluate cos r sin x dr.

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Q: Find: L [sin 2 5t ]. 0-co 5 Cos 10t) s² + 25 O A.) B.) 1 5 s² +25 2s 2(s +100) C.) D.)

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Q: Let t be the angle between 0 and such that sin t Then cos t sin(-t) cos(-t) tant =

A: Solution ) sin t = 1/4    t = sin-1(1/4)    t = 14.48 Cos (14.48) = 0.968 Sin(-t) = - sin t Sin (-t)…

Q: ) y 3on (-- A) units to the right B) units to the left 9 units to the left D) units to the right

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Q: Evaluate 3 cos z sin" e dz.

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Q: 7. Let x be a positive number and let 0 be the angle defined by (a) Express A and B in terms of x.…

A: Explanation of the answer is as follows

Q: Find tangent of angle J as fraction

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Q: Show that sin , +sin ¤, = 2 cos[;(4, – Þ,)]sin[;(P, +Ð,)]

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Q: Show that: cos hz = cos hx cos y + i sin hx sin y.

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Q: tan cos The value of 6 – is sin(60º) a) 4 b) 6 c) 8 d) 0

A: Complete solution is given below

Q: VII. Simplify the trigonometric expressions: a) 1-cos sinz cscz b) 1+secz 1+cus

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Q: Sowe fr x , (2 2+X Q) Fund the domain O 25 ) Pave that GSkl Seck-1 O si o, ci o-

A: ** As per our guidelines, we are supposed to solve only the first three problems/subdivisions.…