Mathematics: Simplify the expression using trigonometric identities: sec (-0) - cos 0. A) tan(-0) · sin 0 B) tan(-0) · sin (-0) C) tan 0 . sin D) -tan 0 . sin 0

Simplify the expression using trigonometric identities:

MayFlowers

24.07.2021

I don't know about this question

but try it after some time

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22dpickr

23.01.2020

C. $f(a) = 5+a^{2}$ and $g(a) = \sqrt{a-5} -2$

Step-by-step explanation:

We are given with four pair of options having functions and are required to find out which pair satisfies gоf(a) = |a| - 2.

Now, the pair that satisfies this equation is $f(a) = 5+a^{2}$ and $g(a) = \sqrt{a-5} -2$ .

i.e. gοf(a) = g(f(a)) = g( $5+a^{2}$ )

i.e. gοf(a) = $\sqrt{5+a^{2} -5} -2$

i.e. gοf(a) = $\sqrt{a^{2} } -2$

i.e. gοf(a) = |a|-2.

Hence, option third $f(a) = 5+a^{2}$ and $g(a) = \sqrt{a-5} -2$ is correct.

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