Please help me solve this trigonometry question
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EXPLANATION.
⇒ sinθ = p/q.
As we know that,
sinθ = perpendicular/hypotenuse.
⇒ sinθ = p/q = p/h.
As we know that,
Formula of Pythagoras theorem.
⇒ H² = P² + B².
Hypotenuse > Perpendicular > Base.
Using this formula in the equation, we get.
⇒ (q)² = (p)² + B².
⇒ q² - p² = B².
⇒ B = √(q² - p²).
⇒ cosθ = Base/Hypotenuse.
⇒ cosθ = [√(q² - p²)/q].
To find :
Value of cosθ + sinθ.
Put the values in the equation, we get.
⇒ [√(q² - p²)/q] + p/q.
⇒ [√(q² - p²) + p]/q.
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