Question

1+tansquare theta into cos theta into sin theta equal to tan theta​

Answer 1

Explanation:

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Answer 2

Answer:

1) (1 - Cos ∅)(1 + Cos ∅)(1 + Cot² ∅) = 1

=> (1² - Cos² ∅)(Cosec² ∅) = 1

[ (a + b)(a - b) = a² - b² ; 1 + Cot² ∅ = Cosec² ∅]

=> Sin² ∅ * Cosec² ∅ = 1

[ 1 - Cos² ∅ = Sin² ∅ ]

=> 1/Cosec² ∅ * Cosec² ∅ = 1

[ Sin ∅ = 1/Cosec ∅]

=> 1 = 1.

2) (1 + tan² ∅)(Cos ∅)(Sin ∅) = tan ∅

=> Sec² ∅ * 1/Sec ∅ * Sin ∅ = tan ∅

[ 1 + tan² ∅ = Sec² ∅ ; Cos ∅ = 1/Sec ∅]

=> Sec ∅ * 1/Sin ∅ = tan ∅

=> (1/Cos∅)/(1/Sin ∅) = tan ∅

=> Sin ∅/Cos ∅ = tan ∅

=> Tan ∅ = tan ∅.