AptiDude AptiDude

If sec ⁡ θ − tan ⁡ θ sec ⁡ θ + tan ⁡ θ = 1 9 \frac{\sec \theta - \tan \theta}{\sec \theta + \tan \theta} = \frac{1}{9} sec θ + tan θ sec θ − tan θ ​ =...

SSC SSC CGL Tier 2 Medium Trigonometric Ratios MCQ

Question

If

sec⁡θ−tan⁡θsec⁡θ+tan⁡θ=19\frac{\sec \theta - \tan \theta}{\sec \theta + \tan \theta} = \frac{1}{9}
and
θ\theta
lies in the first quadrant, find the value of
sin⁡θ−tan⁡2θsin⁡θ+tan⁡2θ\frac{\sin \theta - \tan^2 \theta}{\sin \theta + \tan^2 \theta}
.

Options

A.
−1327-\frac{13}{27}
B.
−1129-\frac{11}{29}
C.
1327\frac{13}{27}
D.
1129\frac{11}{29}
trigonometrysecanttangentfirst quadrantalgebraic manipulation

Solve This Question

Get instant feedback with detailed step-by-step solution

Start Solving →

Continue Practicing

Similar Questions

SSC Medium

If $\tan(x + y) \times \tan(x - y) = 1$, then find the value of $\tan x$....
SSC Easy

Let $\triangle ABC$ be a right-angled triangle with the right angle at $B$. If $\tan A = \sqrt{3}$, ...
SSC Medium

If $\cos 27^\circ = \frac{p}{q}$, then find the value of $\csc 27^\circ - \cos 63^\circ$....
SSC Easy

Let $PQR$ be a right-angled triangle, right-angled at $R$. Given $PQ = 29 \text{ cm}$, $QR = 21 \tex...
SSC Easy

If $\sin A = \frac{5}{13}$, then find the value of $$\frac{\cos A - 2 \tan A}{\sin A + 3 \tan A}$$...
SSC Medium

If $\cos 27^\circ = \frac{p}{q}$, then find the value of $\csc 27^\circ - \cos 63^\circ$....