Introduction to...

Find the value of .

If cosθ = 2cos²θ , then 2sec²θ – cos²θ + tan²θ =

is equal to

If xcotθ - ycosecθ = a and xcosecθ - ycotθ = b, then (y² - x²)² is equal to

Simplify

If tan A + cot A = 4, then what is the value of tan³ A + cot³ A?

If , then equals

If x + y = 90°, then what is the value of ?

If A + B = 90°, sin A = and cos B = , find the relation between p, q, r and s.

In triangle RPS, it is given that ∠P = 90° and cosecR = . Find the value of [tanS.cotR – secR.sinR + cosR]³.

If sin x + sin² x = 1, then find the value of cos⁴ x + cos⁸ x + 2 cos⁶ x + 1.

Evaluate: 21 cot48° cot81° cot42° cot9° - 9()³ + 16()²

What is the value of q if cot(p + q – r + s) = 0, sin(p – q) = , cosec(q + s) = and sec(q + r) = 1?

If cosθ =sinθ, then the value of+is

What is the value of p in the following equation?

p – sec⁴θ – cosec⁴θ = 2(tanθ + cotθ)² - (sec²θ + cosec²θ)²

What is the value of ?

What is the value of ?

=

If sin A + cosec A = 3, then find the value of .

What is the value of if ?

Which of the following statements is/are false?

(A) If secθ + cosecθ = 1, then .

(B).

Which of the following statements is/are CORRECT?

(I) ^{is dependent on θ.}

(II) .

If 4 cos² A + 2 sin² A = 3, then what is the value of A, given that A lies in the first quadrant?

What is the value of x² - 4 - y² +if x = secθ – cosecθ and y = tanθ – cotθ?

Fill in the blanks:

(i) If sec⁴θ + sec²θ = 1, then the value of 3 tan²θ + tan⁴θ is ____________.
(ii) The value of+, if p = m tan⁶θ and q = n cot⁶θ, is ___________.
(iii) If o = g cosecθ, m = gcotθ and n = Isecθ, then the value of o²– m²– n²+ I²tan²θ is ________.