Question

Evaluate : tan 13° tan 21° tan 69º tan 77°​

Answer 1

Answer:

hello

Step-by-step explanation:

here is you answer.....

here,

= tan 13° tan 21° tan 69° tan 77°

= tan 13° tan 77° tan 21° tan 69°

= cot (90°-77°) tan 77° cot (90°-69°) tan 69°

= (cot 77° * tan 77°) (cot 69° * tan 69°)

= (1) (1)

= 1

so thr correct answer is one(1) for the question.

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Answer 2

Answer:

tan theta=1/cot theta

tan 13=1/cot 13

tan 21=1/cot 21

so now another step

cot(90-theta)=tan theta

cot(13-90)=tan 77=cot 13

cot(21-90)=tan 69=cot 21

1/tan 77* 1/tan 69* tan 69* tan 77

everything cuts remaining is the answer:

1