Find value of ( a 2 </msup> &#x2212;<!-- − --> 1 ) tan 2 </msup>

Sufirk6u38

Sufirk6u38

Answered question

2022-06-02

Find value of ( a 2 1 ) tan 2 A + ( 1 b 2 ) tan 2 B
given sin A = a cos B and cos A = b sin B
I squared and added conditions to get a 2 cos 2 B + b 2 sin 2 B = 1. How do i proceed?

Answer & Explanation

blogrom1j7hf8

blogrom1j7hf8

Beginner2022-06-03Added 4 answers

a = sin A cos B and b = cos A sin B then
( a 2 1 ) tan 2 A + ( 1 b 2 ) tan 2 B = sin 2 A cos 2 B cos 2 A cos 2 B = tan 2 A tan 2 B 1 = a 2 b 2 1
because
a b = sin A cos B cos A sin B = tan A tan B

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