Question

se 0+) (tan-ND)
1 -tan 0 + see o
seo 0 + 1) (tan
sec )
1
tan e
sec 0 tan
EXERCISE 8.4
an e (tan Dee)
is the RHS of the identity, we are required to prove.
the trigonometric ratios sin A, sec A and tan A in terms of cot A.
2. Write all the other trigonometric ratios of Z A in terms of sec A.
(ii) sin 25° cos 65° + cos 25° sin 65°
Choose the correct option. Justify your choice.
(ii) (sec A + tan A) (1 - sin A) =
sec o
sin 63° + sin270
(1) COSP 17° + cos? 73°
(B) 1
Express
Evaluate :
4
( 9 sec? A - 9 tan” A =
(
B9
m) (1 + tan 8 + sec ) (1 + cot 0 - cosec 0) =
(A) 1
(C) 8
(D) 0
(A) 0
9
(D) -1
(A) sec A
(B) sin A
(C) cosec A
(D) cos A
8
(iv)
1 + tan? A
1 + cot² A
(A) sec²A
(B) -1
(C) cot A
(D) tanº A
5. Prove the following identities, where the angles involved are acute angles for which the
expressions are defined.
1 - cos e
COS A
() (cosec 0 - cot 0)? = 1 +cos e
(ii)
1 + sin A
= 2 sec A
1 + sin A
COS A​

Answer 1

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