Prove that (cosec a-sin a)(sec a-cos a)(tan a+cot a)=1
Answers
Answered by
2
Given:(cosec a-sin a)(sec a-cos a)(tan a-cot a)=1.
consider,LHS
>> (1/sin a - sin a)(1/cos a- cos a)(sin a/cos a+cos a /sin a)
>>(1-sin^2 a/sin a)(1-cos^2 a/cos a)(sin^2 a+cos^2 a)
>>(cos^2 a/sin a)(sin^ 2 a/cos a)(1/cos a.sin a)
after cancellation we get LHS =1.
Hence,(cosec a-sin a)(sec a-cos a)(tan a+cot a)=1
Similar questions