Trigonometry Practice Test 1

Question : 38 of 40

Marks: +1, -0

What is the value of

(\tan A+\cot A+\sec A )

( \tan A+ \cot A- \sec A)

Solution:

(\tan A+\cot A+\sec A )

( \tan A+ \cot A- \sec A)

=(\tan A+\cot A)^2-\sec^2 A

= \tan^2 A+\cot ^2A+2 -\sec^2 A

= \tan^2 A+\cot^2 A+2 -1-\tan^2 A

=1+\cot^2A

=\cosec^2A

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