Question

Evaluate: 5 tan 45°. tan 39º tan 51° sin 30° · cos 60°.

Answer 1

Answer : 5/4 ✔️

Solution :

5tan45° . tan39° . tan51°. sin30°. cos60°

=> (5 × 1). tan39° . tan(90°-39°). 1/2. 1/2

=> 5 tan39° . cot39° . 1/4

[ As we know that : tan(90 - A) = cotA and tanA.cotA = 1 ]

=> 5 × 1 × 1/4 = 5/4

I hope it will be helpful for you ☺️

Fóllòw MË ❤️

Answer 2

Answer:5,tan45°=1,tan39°=1/tan51°,sin30°=1/cos60°

Step-by-step explanation:5×1×tan39/tan39×cos60/cos60

=5×1×1/1×1/1

=5×1=5