Question

if cos theta is equal to 3 / 5 find the value of 5 cos theta - 4 and theta / sec theta + cot theta​

Answer 1

REFER TO THE ATTACHMENT FOR YOUR ANSWER.

Given :-

Cos ∅ = 3/5

cos ∅ = base/hypotenuse

➡ 3/5 = base/hypotenuse

➡ base = 3 and hypotenuse = 5

by Pythagoras theorem, we get

➡ hypotenuse² = base² + height²

➡ 5² = 3² + height²

➡ height = √(25 - 9)

➡ height = √16 = 4

we know that,

• cosec∅ = hypotenuse/height = 5/4

• tan∅ = height/base = 4/3

• sec∅ = hypotenuse/base = 5/3

• cot∅ = 1/tan∅ = 3/4

Answer 2

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Hope it helps