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Class 12 · Mathematics

If (\sin \theta+\cos \theta=\sqrt{2}) and (0<\theta<\frac{\pi}{2}), what is the value of (\theta)?

Class 12 · Mathematics

What is (\sin^2 \theta-\cos^2 \theta) equal to?

Class 12 · Mathematics

If (\tan \theta+\tan(\pi-\theta)=r), what is the value of (r)?

Class 12 · Mathematics

If (\cos \theta-\cos(-\theta)=q), what is the value of (q)?

Class 12 · Mathematics

If (\sin \theta+\sin(-\theta)=p), what is the value of (p)?

Class 12 · Mathematics

What is the value of (\tan \theta \cdot \cot \theta), when both are defined?

Class 12 · Mathematics

What is the value of (\cos \theta \cdot \sec \theta), when both are defined?

Class 12 · Mathematics

What is the value of (\sin \theta \cdot \cosec \theta), when both are defined?

Class 12 · Mathematics

If (\cosec \theta=\frac{5}{2}) and (\theta) is in the first quadrant, what is (\sin \theta)?

Class 12 · Mathematics

If (\sec \theta=2) and (\theta) is in the first quadrant, what is (\cos \theta)?

Class 12 · Mathematics

If (\cot \theta=\frac{12}{5}) and (\theta) is in the first quadrant, what is (\cos \theta)?

Class 12 · Mathematics

If (\tan \theta=\frac{4}{3}) and (\theta) is in the first quadrant, what is (\sin \theta)?

Class 12 · Mathematics

What is the simplified value of (\frac{1-\sin^2 \theta}{\cos^2 \theta}), when (\cos \theta\neq0)?

Class 12 · Mathematics

What is the simplified value of (\frac{1-\cos^2 \theta}{\sin^2 \theta}), when (\sin \theta\neq0)?

Class 12 · Mathematics

If (\tan \theta=\sqrt{3}) and (0<\theta<\pi), what is the value of (\theta)?

Class 12 · Mathematics

If (\cos \theta=\frac{1}{2}) and (0<\theta<2\pi), what are the values of (\theta)?

Class 12 · Mathematics

If (\sin \theta=\frac{1}{2}) and (0<\theta<\pi), what are the values of (\theta)?

Class 12 · Mathematics

If (\sin \theta=\cos \theta) and (0<\theta<\frac{\pi}{2}), what is the value of (\theta)?

Class 12 · Mathematics

What is \(\cot\left(\frac{\pi}{2}-\theta\right)\) equal to?

Class 12 · Mathematics

What is the value of \(\tan\left(\frac{\pi}{2}-\theta\right)\)?