Question

Find the value of x in the following:
(i) cos x = cos 60° cos 30° + sin 60° sin 30
(ii) sin 2 x = sin 60° cos 30° - cos 60° sin30
(iii) (3 tan 2 x = sin 30° + sin 45º cos45
+ 2 sin 90​

Answer 1

Step-by-step explanation:

cosx=cos60

∘

cos30

∘

+sin60

∘

sin30

∘

cosx=cos(60

∘

−30

∘

)

cosx=cos30

∘

x=30

∘

Answer 2

1) x = 90⁰

2) x = 45⁰

3) x = 22.5⁰

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