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Q5 of 45 Page 138

Prove the following.
(secθ + tanθ) (1 - sinθ) = cosθ

Taking LHS

(1 - sinθ) (secθ + tanθ)

[(a + b)(a - b) = a² - b²]

[ sin²θ + cos²θ = 1]

= cos θ

= RHS

Proved !

More from this chapter

4

If find the values of other trigonometric ratios.

5

Prove the following.

secθ(1 - sinθ) (secθ + tanθ) = 1

5

Prove the following.

sec²θ + cosec²θ = sec²θ × cosec²θ

5

Prove the following.

cot²θ - tan²θ = cosec²θ - sec²θ

Questions · 45

6. Trigonometry

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