Question

find the value of tan(90°-theta)cos(90°-theta)/ sin(90°-theta)=1​

Answer 1

Answer:

the figure,

tan(90

∘

−θ)=

y

x

and cotθ=

y

x

So tan(90−θ)=cotθ

So cotθ is correct.

Answer 2

Step-by-step explanation:

Sin (90-theta )cos (90-theta) = tan theta / 1 + cot2 (90 – theta)

Let us start with LHS

sin(90-θ)cos(90-θ)

=cosθ . sinθ

Now let us solve RHS

tanθ/1+cot²(90-θ)

=tanθ/1+tan²θ

=tanθ/sec²θ

=sinθ/cosθ × cos²θ

=sinθcosθ

Now on solving LHS and RHS we get the same equation

Hence LHS= RHS

Hence Proved

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