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If + = + = ℎ ℎ Cos ( + ) = 2−2/ 2+2 |
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Answer» Step-by-step explanation: (a) Given equation sinθ=1/2 sinθ=sin(π/6) If sinx=siny then general formula is X=nπ+(−1) y;=0,±2,±3......... using this we get , θ=nπ+(−1) n (π/6);n=0,±1,±2,±3.......... θ=nπ+(−1) n (π/6);n=0,±1,±2,±3,.......
(b) Given equation ∴cos(3θ/2)=0 If cosx=0, then x=(2n+1)π/2 where n=0,±1,±2...... using this we get , 2 3θ
=(2n+1) 2 π
, where n=0,±1,±2,.... θ=(2n+1)π/3wheren=0,±1,±2,...
(C) tan(30/4)=0 If tanθ=tanαthenθ=nπ+α,wheren=0,±1,±2,.... using this we, get 3θ/4=nπwheren=0,±1,±2,........ θ=4nπ/3wheren=0,±1,±2,.........
(d) 3
sec2θ=2 cos2θ= 3
/2⇒cos2θ=cosπ/6 using formula if cosx=cosythenx=2nπ±ywheren=0,±1,±2...... We get 2θ=2nπ±π/6wheren=0,±1,±2....... θ=nπ±π/12wheren=0,±1,±2,........
(e) cos(θ/2)=−1 sin(θ/2)=−1⇒sinθ/2=sin3π/2 θ/2=nπ+(−1) n 3π/2wheren=0,±1,±2....... θ=2nπ+(−1)3πwheren=0,±1,±2.....
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