Question

If
root 3 tan theta is equal to
1 and theta is acute, find the value of sin 3 theta + cos 2 theta.​

Answer 1

Answer:

1.5

Step-by-step explanation:

Given :- ✓3 tan thetha = 1

To find :- The solution of sin3thetha + cos2thetha

Solution :-

✓3 tan thetha = 1

=> tan thetha = 1/✓3

=> tan thetha = tan 30°

=> thetha = 30°

sin3thetha + cos2thetha

= sin (3*30) + cos (2*30)

= sin90° + cos60°

= 1 + 1/2

= 1 + 0.5

= 1.5 ( ANS)