Trigonometry MCQ Questions and Solutions with Explanations

Section 1 Section 2 Section 3

1.
The value of the expression: sin²1° + sin²11° + sin²21° + sin²31° + sin²41° + sin²45° + sin²49° + sin²59° + sin²69° + sin²79° + sin²89° is?

A. 0

B. $${\text{5}}\frac{1}{2}$$

C. $${\text{4}}\frac{1}{2}$$

D. 5

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2.
If cos20° = m and cos70° =n, then the value of m² + n² is?

A. $$\frac{1}{2}$$

B. 1

C. $$\frac{3}{2}$$

D. $$\frac{1}{{\sqrt 2 }}$$

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3.
If $${\text{sin}}\left( {{{90}^ \circ } - \theta } \right)$$ + $${\text{cos}}\theta $$ = $$\sqrt 2 {\text{cos}}\left( {{{90}^ \circ } - \theta } \right){\text{,}}$$ then the value of $${\text{cosec}}\theta $$ is?

A. $$\frac{1}{{\sqrt 3 }}$$

B. $$\frac{2}{3}$$

C. $$\sqrt {\frac{3}{2}} $$

D. $$\frac{1}{{\sqrt 2 }}$$

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4.
If $${\text{sin A}} - \cos {\text{A}}$$ = $$\frac{{\sqrt 3 - 1}}{2}{\text{,}}$$ then the value of $${\text{sin A}}.{\text{cosA}}$$ is?

A. $$\frac{1}{{\sqrt 3 }}$$

B. $$\frac{{\sqrt 3 }}{2}$$

C. $$\frac{1}{4}$$

D. $$\frac{{\sqrt 3 }}{4}$$

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5.
If $$\frac{{{{\sec }^2}{{70}^ \circ } - {\text{co}}{{\text{t}}^2}{{20}^ \circ }}}{{2\left( {{\text{cose}}{{\text{c}}^2}{{59}^ \circ } - {{\tan }^2}{{31}^ \circ }} \right)}}$$ = $$\frac{2}{m}{\text{,}}$$ then m is equal to?

A. 2

B. 3

C. 4

D. 1

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Trigonometry MCQ Questions and Solutions with Explanations | Aptitude

1. The value of the expression: sin21° + sin211° + sin221° + sin231° + sin241° + sin245° + sin249° + sin259° + sin269° + sin279° + sin289° is?

Answer & Solution

2. If cos20° = m and cos70° =n, then the value of m2 + n2 is?

Answer & Solution

3. If $${\text{sin}}\left( {{{90}^ \circ } - \theta } \right)$$ + $${\text{cos}}\theta $$ = $$\sqrt 2 {\text{cos}}\left( {{{90}^ \circ } - \theta } \right){\text{,}}$$ then the value of $${\text{cosec}}\theta $$ is?

Answer & Solution

4. If $${\text{sin A}} - \cos {\text{A}}$$ = $$\frac{{\sqrt 3 - 1}}{2}{\text{,}}$$ then the value of $${\text{sin A}}.{\text{cosA}}$$ is?

Answer & Solution

5. If $$\frac{{{{\sec }^2}{{70}^ \circ } - {\text{co}}{{\text{t}}^2}{{20}^ \circ }}}{{2\left( {{\text{cose}}{{\text{c}}^2}{{59}^ \circ } - {{\tan }^2}{{31}^ \circ }} \right)}}$$ = $$\frac{2}{m}{\text{,}}$$ then m is equal to?

Answer & Solution

Read More Section(Trigonometry)

1.
The value of the expression: sin²1° + sin²11° + sin²21° + sin²31° + sin²41° + sin²45° + sin²49° + sin²59° + sin²69° + sin²79° + sin²89° is?

2.
If cos20° = m and cos70° =n, then the value of m² + n² is?

3.
If $${\text{sin}}\left( {{{90}^ \circ } - \theta } \right)$$ + $${\text{cos}}\theta $$ = $$\sqrt 2 {\text{cos}}\left( {{{90}^ \circ } - \theta } \right){\text{,}}$$ then the value of $${\text{cosec}}\theta $$ is?

4.
If $${\text{sin A}} - \cos {\text{A}}$$ = $$\frac{{\sqrt 3 - 1}}{2}{\text{,}}$$ then the value of $${\text{sin A}}.{\text{cosA}}$$ is?

5.
If $$\frac{{{{\sec }^2}{{70}^ \circ } - {\text{co}}{{\text{t}}^2}{{20}^ \circ }}}{{2\left( {{\text{cose}}{{\text{c}}^2}{{59}^ \circ } - {{\tan }^2}{{31}^ \circ }} \right)}}$$ = $$\frac{2}{m}{\text{,}}$$ then m is equal to?