Prove the following identity. (sin A + sec A +(cos A + cosec A) = (1+sec A cosec A)

Q: 2. Identify each of the following polar equations and state the correct graph: a. r 2-2 cos 0 i. ii.…

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Q: prove the Cos0=(A.B/AB).

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Q: Simplify  1/cos a 1/sin b

A: we know that  1cosθ=secθ1sinθ=cosecθ

Q: epresent 3 sin x + 6 cos x in a form A sin(x + p), use radians for p.

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Q: b. What is the range of y = sin-12x? %3D

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Q: Determine the exact value of cos T + TT 3 6

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Q: Express cos { θ + π/2 ) and sin { θ + π/2 } ) in terms of cosθ and sinθ.

A: Given  cosθ+π2, sinθ+π2

Q: tanla= 2 with 3T LaL2p 3 2 and Sin lb) = 3 with IT L6LT 2. %3D

A: Solution:-  tana=-23   with 3π2<a<2π (fourth quadrant) sinb=34 with    π2<b<π   (second…

Q: Show that cos bx = (eibx +e-ibx) and 1 sin bx :(eibx – e-ibx). 2i

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Q: Show sin 3A = 3 sin A cos²A - sin A.

A: Explanation: Given that: sin3A=3sinAcos2A-sinA Concept: sin3A=3sinA-4sin3A sin2A+cos2A=1

Q: Find the value of the cos I

A: Given,

Q: a) Simplify the following expression. cos cos '(2x)+ si

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Q: Suppose that a is in the first quadrant and that B = n+a. What is cos-(cos B)? COS

A: In this question we have to find cos-1cosβ

Q: Evaluate 1- Sin L Cos L do 2- ( sing ecasy Sdt J-t44t-3 3-

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Q: Find a value of b such that cos(2b-pi/4)=sin(b+pi/5)

A: Given,          cos2b-π4=sinb+π5

Q: Express simplify. sec a + cos² a tan² a) tan a in terms of cosine and sine only, and

A: The given expression is:To Do:We have to express in terms of cosine and sine only and simplify.