The trigonometric expression (sinπœƒ-tanπœƒ (cosπœƒ-cotπœƒ) can be shown to be identical to which of the followings?

(A) 1/2𝑠𝑖𝑛2πœƒ βˆ’ 1 (B) 1 (C) (π‘ π‘–π‘›πœƒ βˆ’ 1)(π‘π‘œπ‘ πœƒ βˆ’ 1) (D) π‘ π‘–π‘›πœƒπ‘π‘œπ‘ πœƒ βˆ’ 1

1 answer

(sinπœƒ-tanπœƒ) (cosπœƒ-cotπœƒ)
sinπœƒ(1-1/cosπœƒ) * cosπœƒ(1 - 1/sinπœƒ)
so, C
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