(i) If 0≤x≤π and x lies in the IInd quadrant such that sin x=14.

1.	(i) If 0≤x≤π and x lies in the IInd quadrant such that sin x=14. Find the values of cos x2, sin x2 and tan x2. (ii) If cos θ=45 and θ is acute, find tan 2θ (iii) If θ=45 and 0<θ<π2, find the value of sin 4θ.
Answer» (i) If $0 \leq x \leq π$ and x lies in the IInd quadrant such that $s i n x = \frac{1}{4}$ . Find the values of $c o s \frac{x}{2}, s i n \frac{x}{2} a n d t a n \frac{x}{2}$ . (ii) If $c o s θ = \frac{4}{5} a n d θ$ is acute, find $t a n 2 θ$ (iii) If $θ = \frac{4}{5} a n d 0 < θ < \frac{π}{2}$ , find the value of sin $4 θ$ .

(i) If 0≤x≤π and x lies in the IInd quadrant such that sin x=14. Find the values of cos x2, sin x2 and tan x2. (ii) If cos θ=45 and θ is acute, find tan 2θ (iii) If θ=45 and 0<θ<π2, find the value of sin 4θ.

Answer»

(i) If $0 \leq x \leq π$ and x lies in the IInd quadrant such that $s i n x = \frac{1}{4}$ . Find the values of $c o s \frac{x}{2}, s i n \frac{x}{2} a n d t a n \frac{x}{2}$ .

(ii) If $c o s θ = \frac{4}{5} a n d θ$ is acute, find $t a n 2 θ$

(iii) If $θ = \frac{4}{5} a n d 0 < θ < \frac{π}{2}$ , find the value of sin $4 θ$ .

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(i) If 0≤x≤π and x lies in the IInd quadrant such that sin x=14. Find the values of cos x2, sin x2 and tan x2. (ii) If cos θ=45 and θ is acute, find tan 2θ (iii) If θ=45 and 0&lt;θ&lt;π2, find the value of sin 4θ.

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(i) If 0≤x≤π and x lies in the IInd quadrant such that sin x=14. Find the values of cos x2, sin x2 and tan x2. (ii) If cos θ=45 and θ is acute, find tan 2θ (iii) If θ=45 and 0<θ<π2, find the value of sin 4θ.