Question

5) What is the value of ? :- 2 Cos’e (1 + tan 20).​

Answer 1

Answer:

Step-by-step explanation:

we know that ,

1+tan²θ=sec²θ

1+cot²θ=cosec²θ

Now, cos²θ(1+tan²θ)+sin²θ(1+cot²θ)=

cos²θsec²θ+sin²θcosec²θ=1+1=2

Answer 2

||♧ ᴀɴsᴡᴇʀ♧||

cos²θ(1+tan²θ) = 1

take L.H.S

cos²θ(1+tan²θ)

= cos²θ + cos²θ.tan²θ

= cos²θ + cos²θ. sin²θ/cos²θ

= cos²θ + sin²θ

= 1

= R.H.S

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