Question

Solve: cos2 theta - sin 2 theta = 1/4​

Answer 1

$\bold{\huge{\fbox{\color{Maroon}{♡Hello♡}}}}$

Solution :

{ => Using 'a' in place of theta. }

cos²a-sina = 1/4

(1-sin²a) - sina = 1/4

4-4sin²a-4sina-1 = 0

=> 4sin²a+4sina-3 = 0

=> 4sin²a+6sina-2sina-3 = 0

=> 2sina(2sina+3)-1(2sina+3) = 0

=> (2sina-1)(2sina+3) = 0

since, Sina = -3/2 is not possible

=> Sina = 1/2

=> $\bold{\small{\fbox{\color{Black}{a = π/6 or 30°}}}}$

$\bold{\huge{\fbox{\color{Pink}{♡Thanks♡}}}}$

Answer 2

Answer:

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