Question

16 sin cube theta+8 cos cube theta= and answer is 3​

Answer 1

Answer:

answers/16-sin-cube-theta-8-cos-cube-theta-and- answer-is-3-3447247

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16 sin cube theta+8 cos cube theta= and answer is 3. Related Answer. sinθ+ cosθ=√2 then sin16θ is (A) cos16θ210 (B) sec16θ28 (C) 12sec16θ (D) ...

Step-by-step explanation:

answers/16-sin-cube-theta-8-cos-cube-theta-and- answer-is-3-3447247

Thumbnail image

16 sin cube theta+8 cos cube theta= and answer is 3. Related Answer. sinθ+ cosθ=√2 then sin16θ is (A) cos16θ210 (B) sec16θ28 (C) 12sec16θ (D) ...

Answer 2

Concept

The formula of Sin 3θ and Cos 3θ is

Sin 3θ= 3 Sinθ- 4 sin³θ

Cos 3θ = 4 Cos³θ - 3 Cosθ

Given

16 sin³θ + 8 cos³θ is given

Find

We need to find the value of 16 sin³θ + 8 cos³θ

Solution

Sin 3θ= 3 Sinθ- 4 sin³θ

→ 4 sin³θ = 3 Sinθ - Sin 3θ.....(1)

Cos 3θ = 4 Cos³θ - 3 Cosθ

→ 4 Cos³θ= Cos 3θ + 3 Cosθ...(2)

16 sin³θ + 8 cos³θ

= 4(4 sin³θ) + 2(4 cos³θ).....(3)

put equation (1) and (2) in equation (3)

=4(3 Sinθ - Sin 3θ) + 2(Cos 3θ + 3 Cosθ)

=12 Sinθ - 4 Sin 3θ + 2 Cos 3θ + 6 Cosθ

Hence the value of 16 sin³θ + 8 cos³θ is 12 Sinθ - 4 Sin 3θ + 2 Cos 3θ + 6 Cosθ

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