If sin α + cosβ = 1 and α= 90°, find the value of 'β'.

Sum

sin α + cos β = 1
⇒ sin 90° + cos β = 1
⇒ 1 + cos β = 1
⇒ cos β = 0
⇒ cos β = cos 90°
⇒ β = 90°.

shaalaa.com

Trigonometric Equation Problem and Solution

Is there an error in this question or solution?

Chapter 27: Trigonometrical Ratios of Standard Angles - Exercise 27.1

Chapter 27 Trigonometrical Ratios of Standard Angles
Exercise 27.1 | Q 6

Solve the following equations for A, if `sqrt3` tan A = 1

Solve the following equation for A, if `sqrt3` cot 2 A = 1

Solve the following equation for A, if 2 sin A = 1

Solve for x : cos `(x)/(3) –1` = 0

Find the value of 'A', if 2 sin 2A = 1

If θ = 15°, find the value of: cos3θ - sin6θ + 3sin(5θ + 15°) - 2 tan²3θ

Find the value of 'x' in each of the following:

In a trapezium ABCD, as shown, AB ‖ DC, AD = DC = BC = 24 cm and ∠A = 30°. Find: length of AB

If A, B and C are interior angles of ΔABC, prove that sin`(("A" + "B")/2) = cos "C"/(2)`