Question
If sec a + tan a = 2, find the value of sin a.Â
Solution
Given, sec a + tan a = 2 ..............(I) We know that, sec² a - tan² a = 1 Or, (sec a + tan a) (sec a - tan a) = 1  So, sec a - tan a = (1/2) ...........(II)  On adding equations (I) and (II), we get;  2 sec a = 2 + (1/2) = (5/2)  Or, sec a = (5/4)  So, cos a = [1/(sec a)] = (4/5)  So, sin a = √[1 - (4/5)²] = √(9/25) = (3/5)  Hence, sin a = (3/5)Â
7/11 × 1034 + 1(4/7) × 2401 = 1230 +?
140% of 9/8 of ? = 108% of 2800
4.56 + 56.4 + 64.5 = ? + 10.46
- What will come in the place of question mark (?) in the given expression?
?² = 28% of 35% of 4500 12.5% of (100 + ?) = 40
What will come in the place of question mark (?) in the given expression?
? = 12.5% of 25% of 20% of 1280 + 1248
(? + 180 + 13 × 6) ÷ 20 + 3.5 × 512 (1/3) = 82
Solve for the ?
What will come in the place of question mark (?) in the given expression?
(437 + ? - 167) x 2.5 = 875(22% of 1500 + 15% of 2200) = ? x 11
Relevant for Exams:
