Question

Sin theta/cos(90-theta)+cos theta/sin (90-theta)=2.

Answer 1

$\bf{\blue{\bigstar}}$ AnsweR :

$\bf{\red{\star}}$ Before going to solve the Trigonometric equation , we need to know ,

• cos (90-x) = sin x
• sin (90-x) = cos x

$\implies \bold{\frac{sin\theta}{cos(90-\theta)} +\frac{cos\theta}{sin(90-\theta)} }\\\\\implies \bold{\frac{sin\theta}{sin\theta}+\frac{cos\theta}{cos\theta} }\\\\\implies \bold{1+1}\\\\\implies \bold{\bf{\blue{2}}}\\\\\bold{Hence\;Shown}$