Advertisements
Advertisements
Question
If tan θ = cot 37°, then the value of θ is
Options
37°
53°
90°
1°
Advertisements
Solution
53°
Explanation;
Hint:
tan θ = cot 37°
= cot (90° – 53°)
= tan 53°
The value of θ is 53°
APPEARS IN
RELATED QUESTIONS
For triangle ABC, show that : `tan (B + C)/2 = cot A/2`
Prove that:
tan (55° - A) - cot (35° + A)
If the angle θ = –45° , find the value of tan θ.
If 16 cot x = 12, then \[\frac{\sin x - \cos x}{\sin x + \cos x}\]
If θ is an acute angle such that \[\tan^2 \theta = \frac{8}{7}\] then the value of \[\frac{\left( 1 + \sin \theta \right) \left( 1 - \sin \theta \right)}{\left( 1 + \cos \theta \right) \left( 1 - \cos \theta \right)}\]
In the following figure the value of cos ϕ is

Prove that:
cos15° cos35° cosec55° cos60° cosec75° = \[\frac{1}{2}\]
Evaluate: 14 sin 30°+ 6 cos 60°- 5 tan 45°.
If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to ______.
The value of the expression (cos2 23° – sin2 67°) is positive.
