Question

If tan 7theta = cos(5 theta – 30°), both angles being acute angles, find the value of theta.​

Answer 1

QUESTION:

If tan 7theta = cot(5 theta – 30°), both angles being acute angles, find the value of theta.

(correct question)

ANSWER:

We use the trigonometry identity here;

either

$\tan( \alpha ) = \cot(90 - \alpha )$

or

$\cot( \alpha ) = \tan(90 - \alpha )$

now come to main question ;

I LET THETHA AS ALPHA.

$\tan(7 \alpha ) = \cot(5 \alpha - 30)$

$\cot(90 - 7 \alpha ) = \cot( 5\alpha - 30)$

cot will cancelled out.

$90 - 7 \alpha = 5 \alpha - 30 \\ 90 + 30 = 5 \alpha + 7 \alpha \\ 120 = 12 \alpha \\ \frac{120}{12} = \alpha \\ 10 = \alpha$

FINAL ANSWER :

value of thetha is 10°.

plz Mark as brainliest

Answer 2

hope it is helpful to you.