MyQuestionIcon

10

You visited us 10 times! Enjoying our articles? Unlock Full Access!

Trigonometric Ratios of Compound Angles

Solve the fol...

Question

Solve the following equation:
$cos (\frac{π}{2} + 5 x) + sin x = 2 cos 3 x$

Open in App

Solution

$cos (\frac{π}{2} + 5 x) + sin x = 2 cos 3 x$
$- sin 5 x + sin x = 2 cos 3 x$
$- 2 cos 3 x sin 2 x = 2 cos 3 x$
Either, $cos 3 x = 0, 3 x = (2 n + 1) \frac{π}{2}, x = (2 n + 1) \frac{π}{6} .$
or , $sin 2 x = (- 1), 2 x = 2 n π - \frac{π}{2}, 2 x = n π - \frac{π}{4} .$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Solve the following equations.

2 s i n 3 x - \frac{1}{s i n x} = 2 c o s 3 x + \frac{1}{c o s x} .

Q. Solve the following equations.

s i n 2 x + s i n (π - 8 x) = \sqrt{2} c o s 3 x .

Q. Solve the following equations.

c o s (\frac{π}{2} - 3 x) - s i n 2 x = 0.

Q. Solve the following equation:

sin x = \frac{\sqrt{2}}{2} .

Q. Solve the following equation:

sin x = - \frac{1}{2} .

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Compound Angles

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Trigonometric Ratios of Compound Angles

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon