Trigonometric Identities
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Q. Simplify the expression-
(cosec2θ−1)×(sec2θ−1)
(cosec2θ−1)×(sec2θ−1)
- 1
- 0
- cot2θ
- tan2θ
Q. Prove the following identities, where the angles involved are acute angles for which the expressions is defined.
sec A + tan A = √(1+sin A1−sin A)
[3 Marks]
[NCERT]
[Trigonometric Identities]
sec A + tan A = √(1+sin A1−sin A)
[3 Marks]
[NCERT]
[Trigonometric Identities]
Q. Which of the following is a trigonometric identity?
- 1+sec2θ=tan2θ
- 1+cosec2θ=cot2θ
- sin2θ=1−cos2θ
- sin2θ−cos2θ=1
Q.
(cosec θ+cot θ)×(1−cos θ)= _____
cot θ
sec θ
sin θ
cosec θ
Q. What is the relation between sin θ and cos θ for any value of θ?
- sin2θ−cos2θ=1
- cos2θ+1=sin2θ
- sin2θ+1=cos2θ
- 1−sin2θ=cos2θ
Q. 
What is the length of the third side in the above triangle?

What is the length of the third side in the above triangle?
- sin θ
- cot θ
- sec θ
- cos θ
Q. What is the relation between sec θ and tan θ for any value of θ?
- tan2θ+1=sec2θ
- None of these
- tan2θ+sec2θ=1
- sec2θ+1=tan2θ
Q.
If (secθ - tanθ) = 13, the value of (secθ + tanθ) is:
Q.
sec4θ−sec2θ is equal to
- tan2θ−tan4θ
- tan4θ−tan2θ
- tan4θ+tan2θ
- tan2θ−tan4θ
Q.
If p cotθ = √q2−p2, then the value of sinθ is ___. (θ being an acute angle).
0