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Vikentia [17]
3 years ago
5

Establish this identity

Mathematics
1 answer:
Olenka [21]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Using the identities

tan x = \frac{sinx}{cosx} , sin²x = 1 - cos²x

sin2x = 2sinxcosx

Consider left side

cosθ × sin2θ

= \frac{sin0}{cos0} × 2sinθcosθ ( cancel cosθ )

= 2sin²θ

= 2(1 - cos²θ)

= 2 - 2cos²θ

= right side , then established

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