root over sec²theta +cosec ²theta = pls help any one..
ShreyaS05455:
secant is reciprocal of cos
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Answered by
4
Answer:
tanθ + cotθ
Step-by-step explanation:
Given Equation is √sec²θ + cosec²θ
= √(1 + tan²θ) + (1 + cot²θ)
= √2 + tan²θ + cot²θ
= √tan²θ + cot²θ + 2 * 1
= √tan²θ + cot²θ + 2 * tanθ * (1/tanθ)
= √tan²θ + cot²θ + 2 tanθ cotθ
= √(tanθ + cotθ)²
= tanθ + cotθ
Hope it helps!
Answered by
1
√sec²θ + cosec²θ
√(1 + tan²θ) + (1 + cot²θ)
√2 + tan²θ + cot²θ
√tan²θ + cot²θ + 2 * 1
√tan²θ + cot²θ + 2 * tanθ * (1/tanθ)
√tan²θ + cot²θ + 2 tanθ cotθ
√(tanθ + cotθ)²
tanθ + cotθ
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