Question

Find acute angle theta is sin 3theta°-15°=1

Answer 1

sin3theta-15=1

sin3theta-15°=sin90°

3theta-15°=90°

3theta=90°+15°

3theta=105°

theta=105°/3

theta=35°

Answer 2

The acute angle $\theta$ = 35°

Step-by-step explanation:

We have,

$\sin (3\theta-15)$ = 1

To find, the acute angle $\theta$ = ?

∴ $\sin (3\theta-15)$ = 1

⇒ $\sin (3\theta-15) = \sin 90$

∵ $\sin 90$ = 1

⇒ 3$\theta$ - 15° = 90°

⇒ 3$\theta$ =  90° + 15°

⇒ 3$\theta$ = 105°

⇒ $\theta$ = $\dfrac{105}{3}$

⇒ $\theta$ = 35° is an acute angle.

Thus,  the acute angle $\theta$ = 35°