Prove the following.sec2θ + cosec2θ = sec2θ × cosec2θ

Taking LHSSec2θ + cosec2θ [ sin2θ + cos2θ = 1]= sec2θ × cosec2θ= RHSProved !

Q5 of 45 Page 138

Prove the following.
sec²θ + cosec²θ = sec²θ × cosec²θ

Taking LHS

Sec²θ + cosec²θ

[ sin²θ + cos²θ = 1]

= sec²θ × cosec²θ

= RHS

Proved !

Prove the following.

secθ(1 - sinθ) (secθ + tanθ) = 1

Prove the following.

(secθ + tanθ) (1 - sinθ) = cosθ

Prove the following.

cot²θ - tan²θ = cosec²θ - sec²θ

Prove the following.

tan⁴θ + tan²θ = sec⁴θ - sec²θ

Questions · 45

6. Trigonometry

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