Question

If 3sina = 4cosa. Find the value of 1-cos²a.cosec²a

Answer 1

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Topic:- Trigonometry

Note:- a means ∅

3Sin∅=4Cos∅

3/4=Cos∅/Sin∅

3/4=Cot∅

Here...

Base=}3

Perpendicular=)4

Using Pythagoras theorem;

H²=P²+B²

H²=4²+3²

H²=16+9

H²=25

H=√25

H=5

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By mathematical Trigonometry Formula;

=) 1-Cos²∅×Cosec²∅

=) Sin²∅×Cosec²∅

=) 1/Cosec²∅×Cosec²∅

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ANS:- [ 1 ]

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