Question

IF tan35^tan55^=sin A^ then angle A us equal to

Answer 1

Answer:

90° or pi /2

Explanation:

We write to tan 35=tan(90-55)

Hence,

Tan (90-55) tan 35 =sinA

Cot 55 tan55=sinA

Cot55 1/cot55 =sinA

1=sin A

A=sin^-1(1)

A= sin^-1sin 90°

A= 90°

Answer 2

Explanation:

tan35°tan55° = sin A

tan(90°-55°)tan55° = sin A

cot55°tan55° = sin A

cot55°× 1/cot 55° = sin A

1 = sin A

we know that sin90° = 1

so, A = 90°