Question

if cos 8 theta is equal to sin theta and 9 theta is less than 90 degree then the value of tan 6 theta is

Answer 1

Answer:

Tan 54 = 1.3763

Step-by-step explanation:

Given :cos 9 \theta = sin \thetacos9θ=sinθ

To Find : value of tan 6\thetatan6θ

Solution :

cos 9 \theta = sin \thetacos9θ=sinθ

Identity: cos (90-\theta)=sin \thetacos(90−θ)=sinθ

So, cos 9 \theta =cos (90-\theta)cos9θ=cos(90−θ)

9 \theta =90-\theta9θ=90−θ

10\theta =9010θ=90

\theta =9θ=9

So, tan 9\theta = tan (9 \times 6 ) = tan 54tan9θ=tan(9×6)=tan54

So, using calculator Tan 54 = 1.3763

Hence Tan 54 = 1.3763