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Standard IX

Mathematics

Why Trigonometry

Which of the ...

Question

Which of the following statements is correct?

As θ increases from 0° to 90°, the value of cosec θ increases

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As θ increases from 0° to 90°, the value of sec θ decreases

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cot θ is undefined for θ = 90°

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tan 60° > tan 45°

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Solution

The correct option is D
tan 60° > tan 45°

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Similar questions

Q. The value of

tan 0 ° + sec 0 ° + cot 90 ° + cosec 90 ° =

Q. What is the value of

sec (90^{0} - A) - cot A cos (90^{0} - A) tan (90^{0} - A)

Q. If

A = 45^{\circ} a n d 30^{\circ},

then the value of

\frac{2 s i n^{2} (90^{\circ} - B) + s e c (90^{\circ} - A)}{c o s e c (90^{\circ} - B) + t a n^{2} (3 B - A)}

Choose the correct alternative answer for following multiple choice questions.

(i) Which of the following statements is true ?

(A) sin

θ

= cos (90

-

θ

) (B) cos

θ

= tan (90

-

θ

)
(C) sin

θ

= tan (90

-

θ

) (D) tan

θ

= tan (90

-

θ

)

(ii) Which of the following is the value of sin 90^°?

(A)

\frac{\sqrt{3}}{2}

(B) 0

(C)

\frac{1}{2}

(D) 1

(iii) 2 tan 45^°+ cos 45^°

-

sin 45^°= ?

(A) 0 (B) 1

(iv)

\frac{\cos 28^{°}}{\sin 62^{°}}

(A) 2 (B)

-

1 (C) 0 (D) 1

Q. In fig 8.25, write sec a, tan c, cosec b, cot (90

-

c), cos (90

-

b) and find the value of sec²a

-

tan² a.

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Which of the following statements is correct?

The correct option is D tan 60° > tan 45°

The correct option is D
tan 60° > tan 45°