Trigonometry (Basic)

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #101

Value of `{cos (40^\circ + \theta) - sin (50^\circ - theta)}` is -
(a) `2 cos \theta`, (b) `7 sin \theta`, (c) `1`, (d) `0`
Ans: (d) `0`
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Question No: #102

If `A+B = 90^\circ` and `tan A = 3/4`, then the value of `cot B` is .......
Ans: `3/4`
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Question No: #103

Value of `sec^2 15^\circ - cot^2 75^\circ` is -
(a) `0`, (b) `1`, (c) `\sqrt{2}`, (d) `2`
Ans: (b) `1`
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Question No: #104

Find the value of `\frac{sin 1^\circ}{cos 89^\circ} + \frac{cos 89^\circ}{sin 1^\circ}`.

Question No: #105

Find the value of `sec^2 12^\circ - 1/tan^2 78^\circ`.

Question No: #106

Find the value of `\frac{1}{1 + sin^2 27^\circ} + \frac{1}{1 + sec^2 63^\circ}`.
Ans: `1`
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Question No: #107

Find the value of `\frac{1}{1-sin^2 80^\circ} - \frac{1}{sec^2 10^\circ-1}`
Ans: `1`
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Question No: #108

Value of `(sin 12^\circ \times cos 18^\circ \times sec 78^circ \times \text{cosec}\ 72^circ)` is ....... .

Question No: #109

State True or False.
(i) If `sec \theta = `cosec `\phi` where `0^\circ \lt \theta \lt 90^\circ, 0^\circ \lt \phi \lt 90^\circ`, then value of `sin (\theta + \phi)` will be 1.
(ii) If `sin (\theta + 36^\circ) = cos \theta`, then value of `\theta` is 27°.
Ans: (i) True, (ii) True
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Question No: #110

Find the value of `sin^2 1^\circ + sin^2 2^\circ + sin^2 3^\circ + ... + sin^2 89^\circ`
Ans: `22 1/2`
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