If - and sin- k sin- then show that tan- k sin-1- k cos- and tan-sin- k -cos-Or If sin x -1-3 and x lies in quadrant IV- then find the value ofi sinx-2ii cosx-2iii tanx-2

Or (i) √(2) 1/√(6) (ii) √(2)+1/√(6) (iii) (3 2√(2)) ...

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Byju's Answer

Standard X

Mathematics

Trigonometric Ratios

If θ+ϕ=α and ...

Question

If $θ + ϕ = α$ and $s i n θ = k s i n ϕ$ , then show that $t a n θ = \frac{k s i n α}{1 + k c o s α}$ and $t a n ϕ = \frac{s i n α}{k + c o s α}$

Or

If $s i n x = \frac{- 1}{3}$ and x lies in quadrant IV, then find the value of

(i) $s i n \frac{x}{2}$

(ii) $c o s \frac{x}{2}$

(iii) $t a n \frac{x}{2}$

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Solution

Or

(i) $\frac{\sqrt{2} - 1}{\sqrt{6}}$ (ii) $- \frac{\sqrt{2} + 1}{\sqrt{6}}$ (iii) $- (3 - 2 \sqrt{2})$

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