nometric2)tan A 1+sec A is equal to1+ sec A tan AA) 2cosec A B) 2sec AC)2sin A D) 2cos A
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Class 11
>>Maths
>>Trigonometric Functions
>>Trigonometric Functions of Sum and Difference of Two angles
>>Prove that tanA1 + secA - tanA1 - secA
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Prove that
1+secA
tanA
−
1−secA
tanA
=2cosecA
Medium
Solution
verified
Verified by Toppr
LHS=
1+secA
tanA
−
1−secA
tanA
=
1−sec
2
A
tanA(1−secA)−tanA(1+secA)
=
−(sec
2
A−1)
tanA(1−secA−1−secA)
=
−tan
2
A
tanA(−2secA)
=
+sinA/cosA
+2/cosA
=
sinA
2
=3cosecA
Here's your answer dude
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