Question

Answers all of the following questions 1. If sina + coseca = 2 find the value of sin" + cos ec*0,71 € Z ਦੀm 13+1 Prove that sin - sin 22 417 3. sin 2e Simplify 1+ cos20 4 4x + 9 Find the period of cos (4x + II. Answers all of the following questions 1-22 5. tan160º – tan110° If tan 20° = 1, then show that 1+ tan160°tan 110° If A+B= then prove that 4 1) (1+tan A)(1+tan B) = 2 ii) (cot 4-1)(cot B-1)=2​

Answer 1

Answer:

we know cosec(θ)=

sin(θ)

1

given

sinθ+

sinθ

1

=2

⇒

sinθ

1+sin

2

θ

=2

⇒sin

2

θ−2sinθ+1=0=(sinθ−1)

2

therefore we get the value of sin(θ)=1

⇒cosec(θ)=

sin(θ)

1

=1

therefore

sin

20

θ+cosec

20

θ=1+1=2

Step-by-step explanation:

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