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I urgently need help. "Simplify the expression using trig identities. Show your steps clearly, giving a reason for each step"
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I urgently need help. "Simplify the expression using trig identities. Show your steps clearly, giving a reason for each step"

I urgently need help. "Simplify the expression using trig identities. Show your-example-1
User Kumarie
by
5.6k points

1 Answer

3 votes
sin²x / tan²x

But tanx = sinx / cosx

sin²x / tan²x = (sinx / tanx)²

sinx / tanx = sinx / (sinx/cosx)

= sinx * cosx / sinx

= cosx

Therefore: sin²x / tan²x = (sinx / tanx)² = (cosx)²

= cos²x

Hope this helps.
User MathKid
by
5.2k points
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